Finding the Fourth Proportional to 4,813,265,459.72, 6,642,178,169.79 and 2,778,647,646.28
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Solution
The fourth proportional to 4,813,265,459.72, 6,642,178,169.79 and 2,778,647,646.28 is: 3,834,459,763.78
Step by Step Solution
- Step 1: Write the proportion equation
4,813,265,459.72 : 6,642,178,169.79 = 2,778,647,646.28 : x - Step 2: Convert to fraction form
4,813,265,459.72/6,642,178,169.79 = 2,778,647,646.28/x - Step 3: Cross multiply
4,813,265,459.72x = 6,642,178,169.79 × 2,778,647,646.28 - Step 4: Simplify right side
4,813,265,459.72x = 18,456,272,737,652,617,216 - Step 5: Solve for x
x = 18,456,272,737,652,617,216/4,813,265,459.72 - Step 6: Final answer
x = 3,834,459,763.78
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.